Write down all possible factors of $3 x^{2} y$

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Solution

We have, $3 x^{2} y = 1 \times 3 \times x y = 3 \times x^{2} y = 3 x \times x y$
$= 3 x y \times x = x^{2} \times 3 y = y \times 3 x^{2}$
Thus, the possible factors of $3 x^{2} y$ are $1, 3, x, y, 3 x, 3 y, x y, 3 x y, x^{2} y, 3 x^{2} y$

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